Hey, I just bought a factory unlocked, jailbroken iPhone 4 that is on 5.0.1, but has the SHSH for 5.1 on it. (Then it skips to 6.0, unfortunately). I want to upgrade to 5.1 and keep my jailbreak. Redsn0w says 5.1.1 works fine, but will 5.1 work just as easily?

Also, what's the best method? Stitching the 5.1 ipsw, then using the pwned DFU jailbreak in redsn0w?